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Finding the Fourth Proportional to 2,986.80, 4,480.80 and 2,503.20

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Solution

The fourth proportional to 2,986.80, 4,480.80 and 2,503.20 is: 3,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.80 : 4,480.80 = 2,503.20 : x
  2. Step 2: Convert to fraction form
    2,986.80/4,480.80 = 2,503.20/x
  3. Step 3: Cross multiply
    2,986.80x = 4,480.80 × 2,503.20
  4. Step 4: Simplify right side
    2,986.80x = 11,216,338.56
  5. Step 5: Solve for x
    x = 11,216,338.56/2,986.80
  6. Step 6: Final answer
    x = 3,755.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.